AoA... I want to plot the following functions

f(x)=sin(x)

g(x)=sin(x)-x+x^2

h(x)=cos(x)-sin(x)

I(x)=exp(x)-x

J(x)=sin(x)+exp(x)

in one coordinate having the line style and legend like attached file.

1-s2.0-S0377042714003331-main.pdf

PhD (Scholar)
Department of Mathematics

AoA. How are you? Sir want to generate the attached square matrix for any value of M. Please help.

PhD (Scholar)
Department of Mathematics

AoA. How are you? I want to solve the following equation in one step and convenient way please help

psi(x):=Matrix(1,3,[x,x-1,x^(2)-x-1])

P := Matrix(3, 3, [1, 2, 1, 0, 1, 1, -1, 2, 3])

U := Matrix(3, 3, [a[1, 1], a[1, 2], a[1, 3], a[2, 1], a[2, 2], a[2, 3], a[3, 1], a[3, 2], a[3, 3]])

u := psi(x)^T*(P^2)^T*U*P^2*psi(t)-t*psi(x)^T*(P^2)^T*U*P^2*psi(1)-x*psi(1)^T*(P^2)^T*U*P^2*psi(t)+t*x*psi(1)^T*(P^2)^T*U*P^2*psi(1)

If you reduce my computational work or have any suggestion to solve please give.

PhD (Scholar)
Department of Mathematics

AoA. How are you? Hope you will be fine. I want write the following in Loop for any M

F[r,s]:=2^(k+2) m sqrt((c[r-1])/(c[s-1])) for r=2...(M+1), s=1..r-1 and (r+s)=odd;

F[r,s]:=0  otherwise

Aslam-u-Alikum, want to write the following in Maple please help

psi[1]:=psi[1,0];

psi[2]:=psi[1,1];

psi[3]:=psi[1,2];

psi[4]:=psi[1,3];

psi[5]:=psi[2,0];

psi[6]:=psi[2,1];

psi[7]:=psi[2,2];

psi[8]:=psi[2,3];

PhD (Scholar)
Department of Mathematics